88027267680 has 864 divisors, whose sum is σ = 349681812480. Its totient is φ = 20118067200.

The previous prime is 88027267591. The next prime is 88027267693. The reversal of 88027267680 is 8676272088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232261731 + ... + 232262109.

It is an arithmetic number, because the mean of its divisors is an integer number (404724320).

Almost surely, 2^88027267680 is an apocalyptic number.

88027267680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88027267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174840906240).

88027267680 is an abundant number, since it is smaller than the sum of its proper divisors (261654544800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88027267680 is a wasteful number, since it uses less digits than its factorization.

88027267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 88027267680 in words is "eighty-eight billion, twenty-seven million, two hundred sixty-seven thousand, six hundred eighty".